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Mathematical analysis for classical Chua's circuitwith two nonlinear resistors |
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| รหัสดีโอไอ | |
| Creator | 1. Natchaphon Limphodaen 2. Pattrawut Chansangiam |
| Title | Mathematical analysis for classical Chua's circuitwith two nonlinear resistors |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2020 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 3 |
| Page no. | 678-687 |
| Keyword | chaos theory, circuit analysis, Chua's circuit, nonlinear resistors, hidden attractor |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | We formulate a mathematical model for the classical Chua's circuit with two nonlinear resistors in terms of a system ofnonlinear ordinary differential equations. The existence of two nonlinear resistors implies that the system has three equilibriumpoints. The behaviour of the trajectory in a neighbourhood of each equilibrium point depends on the eigenvalues of the system.The eigenvalues can be obtained from a cubic polynomial equation. It turns out that all possible solutions of the cubic equationlead to six types of equilibrium points, namely, stable node, unstable node, saddle node, stable focus node, unstable focus node,saddle focus node. The chaotic behaviour of the circuit occurs when the equilibrium point is a stable focus node or a saddle focusnode. The hidden attractor of our Chua's system is localized through a suitable initial point. |
